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    <title>weekly_report_1(Jan. 6th ~ Jan. 12th) | Golden Pigeon&#39;s Blog</title>
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    <meta name="description" content="2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)本周学习内容线性代数  矩阵的基本运算： -加减：相同维度的矩阵对应元素加减 -标量积：矩阵的每个元素分别与标量相乘 -点乘：行向量和列向量相乘得到一个标量或者一个1*1矩阵，依此规律得到结果 -转置：A(ij)&#x3D;A^T(ji) -逆矩阵：A*A^(-1)&#x3D;I -单位矩阵：AI&#x3D;IA&#x3D;AI 矩阵的行列式 -行列式&#x3D;0，则矩阵为奇异">
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<meta property="og:title" content="weekly_report_1(Jan. 6th ~ Jan. 12th)">
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<meta property="og:description" content="2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)本周学习内容线性代数  矩阵的基本运算： -加减：相同维度的矩阵对应元素加减 -标量积：矩阵的每个元素分别与标量相乘 -点乘：行向量和列向量相乘得到一个标量或者一个1*1矩阵，依此规律得到结果 -转置：A(ij)&#x3D;A^T(ji) -逆矩阵：A*A^(-1)&#x3D;I -单位矩阵：AI&#x3D;IA&#x3D;AI 矩阵的行列式 -行列式&#x3D;0，则矩阵为奇异">
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<meta property="article:published_time" content="2020-01-13T07:18:19.000Z">
<meta property="article:modified_time" content="2020-01-13T09:10:09.920Z">
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      <a href="/2020/01/13/weekly-report-1-Jan-6th-Jan-12th/" title="weekly_report_1(Jan. 6th ~ Jan. 12th)" itemprop="url">weekly_report_1(Jan. 6th ~ Jan. 12th)</a>
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		<a href="/about" title="Golden Pigeon" target="_blank" itemprop="author">Golden Pigeon</a>
		
  <p class="article-time">
    <time datetime="2020-01-13T07:18:19.000Z" itemprop="datePublished"> Published 2020-01-13</time>
    
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			<ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link" href="#2020年寒假第一周周报-Jan-6th-Jan-12th"><span class="toc-number">1.</span> <span class="toc-text">2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#本周学习内容"><span class="toc-number">1.1.</span> <span class="toc-text">本周学习内容</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#线性代数"><span class="toc-number">1.1.1.</span> <span class="toc-text">线性代数</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#机器学习"><span class="toc-number">1.1.2.</span> <span class="toc-text">机器学习</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#线性回归"><span class="toc-number">1.1.2.1.</span> <span class="toc-text">线性回归</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#假设函数-Hypothesis"><span class="toc-number">1.1.2.1.1.</span> <span class="toc-text">假设函数(Hypothesis)</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#代价函数-Cost-Function"><span class="toc-number">1.1.2.1.2.</span> <span class="toc-text">代价函数(Cost Function)</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#梯度下降-Gradient-Descent"><span class="toc-number">1.1.2.1.3.</span> <span class="toc-text">梯度下降(Gradient Descent)</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#逻辑回归"><span class="toc-number">1.1.2.2.</span> <span class="toc-text">逻辑回归</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#假设函数"><span class="toc-number">1.1.2.2.1.</span> <span class="toc-text">假设函数</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#代价函数"><span class="toc-number">1.1.2.2.2.</span> <span class="toc-text">代价函数</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#梯度下降"><span class="toc-number">1.1.2.2.3.</span> <span class="toc-text">梯度下降</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#正则化"><span class="toc-number">1.1.2.3.</span> <span class="toc-text">正则化</span></a></li></ol></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#本周工作总结"><span class="toc-number">1.2.</span> <span class="toc-text">本周工作总结</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#下周学习安排"><span class="toc-number">1.3.</span> <span class="toc-text">下周学习安排</span></a></li></ol></li></ol>
		
		</div>
		
		<h1 id="2020年寒假第一周周报-Jan-6th-Jan-12th"><a href="#2020年寒假第一周周报-Jan-6th-Jan-12th" class="headerlink" title="2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)"></a>2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)</h1><h2 id="本周学习内容"><a href="#本周学习内容" class="headerlink" title="本周学习内容"></a>本周学习内容</h2><h3 id="线性代数"><a href="#线性代数" class="headerlink" title="线性代数"></a>线性代数</h3><hr>
<ol>
<li>矩阵的基本运算：<br> -加减：相同维度的矩阵对应元素加减<br> -标量积：矩阵的每个元素分别与标量相乘<br> -点乘：行向量和列向量相乘得到一个标量或者一个1*1矩阵，依此规律得到结果<br> -转置：A(ij)=A^T(ji)<br> -逆矩阵：A*A^(-1)=I<br> -单位矩阵：AI=IA=AI</li>
<li>矩阵的行列式<br> -行列式=0，则矩阵为奇异矩阵，不可逆，否则为非奇异矩阵，可逆。</li>
</ol>
<h3 id="机器学习"><a href="#机器学习" class="headerlink" title="机器学习"></a>机器学习</h3><hr>
<h4 id="线性回归"><a href="#线性回归" class="headerlink" title="线性回归"></a>线性回归</h4><hr>
<h5 id="假设函数-Hypothesis"><a href="#假设函数-Hypothesis" class="headerlink" title="假设函数(Hypothesis)"></a>假设函数(Hypothesis)</h5><hr>
<p><img src="" alt="假设函数"></p>
<h5 id="代价函数-Cost-Function"><a href="#代价函数-Cost-Function" class="headerlink" title="代价函数(Cost Function)"></a>代价函数(Cost Function)</h5><hr>
<p><img src="" alt="代价函数"></p>
<h5 id="梯度下降-Gradient-Descent"><a href="#梯度下降-Gradient-Descent" class="headerlink" title="梯度下降(Gradient Descent)"></a>梯度下降(Gradient Descent)</h5><hr>
<p><img src="" alt="更新参量"></p>
<p><img src="" alt="向量化"></p>
<h4 id="逻辑回归"><a href="#逻辑回归" class="headerlink" title="逻辑回归"></a>逻辑回归</h4><hr>
<h5 id="假设函数"><a href="#假设函数" class="headerlink" title="假设函数"></a>假设函数</h5><hr>
<p><img src="" alt="假设函数"></p>
<h5 id="代价函数"><a href="#代价函数" class="headerlink" title="代价函数"></a>代价函数</h5><hr>
<p><img src="" alt="代价函数"></p>
<h5 id="梯度下降"><a href="#梯度下降" class="headerlink" title="梯度下降"></a>梯度下降</h5><hr>
<p>同线性回归</p>
<h4 id="正则化"><a href="#正则化" class="headerlink" title="正则化"></a>正则化</h4><hr>
<p>在代价函数中加入惩罚项，防止高阶特征的参数过大导致过度拟合</p>
<h2 id="本周工作总结"><a href="#本周工作总结" class="headerlink" title="本周工作总结"></a>本周工作总结</h2><p>本周我主要完成了线性回归和爬虫程序的制作，通过一遍遍的尝试，我使我的程序在变快的同时也变得更加精确。这不仅磨炼了我的毅力，也使我获得了更多的经验。下周继续努力！</p>
<h2 id="下周学习安排"><a href="#下周学习安排" class="headerlink" title="下周学习安排"></a>下周学习安排</h2><ul>
<li>继续学习线性代数</li>
<li>完成神经网络基础的学习并完成相关程序的编写</li>
<li>每天学习英语</li>
</ul>
<hr>
<p>#END</p>
  
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 <ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link" href="#2020年寒假第一周周报-Jan-6th-Jan-12th"><span class="toc-number">1.</span> <span class="toc-text">2020年寒假第一周周报(Jan. 6th ~ Jan. 12th)</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#本周学习内容"><span class="toc-number">1.1.</span> <span class="toc-text">本周学习内容</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#线性代数"><span class="toc-number">1.1.1.</span> <span class="toc-text">线性代数</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#机器学习"><span class="toc-number">1.1.2.</span> <span class="toc-text">机器学习</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#线性回归"><span class="toc-number">1.1.2.1.</span> <span class="toc-text">线性回归</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#假设函数-Hypothesis"><span class="toc-number">1.1.2.1.1.</span> <span class="toc-text">假设函数(Hypothesis)</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#代价函数-Cost-Function"><span class="toc-number">1.1.2.1.2.</span> <span class="toc-text">代价函数(Cost Function)</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#梯度下降-Gradient-Descent"><span class="toc-number">1.1.2.1.3.</span> <span class="toc-text">梯度下降(Gradient Descent)</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#逻辑回归"><span class="toc-number">1.1.2.2.</span> <span class="toc-text">逻辑回归</span></a><ol class="toc-child"><li class="toc-item toc-level-5"><a class="toc-link" href="#假设函数"><span class="toc-number">1.1.2.2.1.</span> <span class="toc-text">假设函数</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#代价函数"><span class="toc-number">1.1.2.2.2.</span> <span class="toc-text">代价函数</span></a></li><li class="toc-item toc-level-5"><a class="toc-link" href="#梯度下降"><span class="toc-number">1.1.2.2.3.</span> <span class="toc-text">梯度下降</span></a></li></ol></li><li class="toc-item toc-level-4"><a class="toc-link" href="#正则化"><span class="toc-number">1.1.2.3.</span> <span class="toc-text">正则化</span></a></li></ol></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#本周工作总结"><span class="toc-number">1.2.</span> <span class="toc-text">本周工作总结</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#下周学习安排"><span class="toc-number">1.3.</span> <span class="toc-text">下周学习安排</span></a></li></ol></li></ol>
 
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